# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(p(s(t_bool,h4s_wordss_wordu_u_lt(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X2))))),file('i/f/words/WORD__LESS__REFL', ch4s_wordss_WORDu_u_LESSu_u_REFL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/words/WORD__LESS__REFL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/words/WORD__LESS__REFL', aHLu_FALSITY)).
fof(7, axiom,![X1]:![X5]:![X2]:(~(p(s(t_bool,h4s_wordss_wordu_u_lt(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X5)))))<=>p(s(t_bool,h4s_wordss_wordu_u_le(s(t_h4s_fcps_cart(t_bool,X1),X5),s(t_h4s_fcps_cart(t_bool,X1),X2))))),file('i/f/words/WORD__LESS__REFL', ah4s_wordss_WORDu_u_NOTu_u_LESS)).
fof(8, axiom,![X1]:![X5]:![X2]:(p(s(t_bool,h4s_wordss_wordu_u_le(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X5))))<=>(p(s(t_bool,h4s_wordss_wordu_u_lt(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_fcps_cart(t_bool,X1),X5))))|s(t_h4s_fcps_cart(t_bool,X1),X2)=s(t_h4s_fcps_cart(t_bool,X1),X5))),file('i/f/words/WORD__LESS__REFL', ah4s_wordss_WORDu_u_LESSu_u_ORu_u_EQ)).
fof(9, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/words/WORD__LESS__REFL', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
